Question

PLZZZZZZZZZZZZZZZ HELP ME FAST

1. Solve and show your work for each question.
(a) What is
`√(x) 0.36` expressed as a fraction in simplest form?
(b) What is 0.36 expressed as a fraction in simplest form?
(c) What is  
`√(x) 0.36`expressed as a fraction in simplest form?

Answer:

Answer 1

So it's actually 0.36363636... with the 36 repeating, right?

Here's a technique for converting repeating decimals to fractions:

N = 0.3636363636...
100N = 36.36363636...

This means 100N - N = (36.363636...) - (0.36363636...). This simplifies to 99N = 36, because the "0.36363636..." parts of both numbers on the right cancel each other out.

Solving this for N gives
N = 36/99, or 4/11

If you take a calculator (or use long division) and divide 4 by 11, you'll see that it's 0.36363636...